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Frac Ions

This guide explains how to add fractions and mixed numbers, specifically 1½, ¼, and 2/5. It details the steps of converting mixed numbers to improper fractions, finding a common denominator, and adding the fractions to arrive at the final answer of 2 3/20. The method outlined can be applied to any fractions for addition.

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izuku miyamura ..
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9 views2 pages

Frac Ions

This guide explains how to add fractions and mixed numbers, specifically 1½, ¼, and 2/5. It details the steps of converting mixed numbers to improper fractions, finding a common denominator, and adding the fractions to arrive at the final answer of 2 3/20. The method outlined can be applied to any fractions for addition.

Uploaded by

izuku miyamura ..
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Title: Adding Fractions and Mixed Numbers: A Simple Guide

Objective: Learn how to add 1½, ¼, and 2/5 in the simplest and clearest
way.

Step 1: Convert the Mixed Number

Start with:
1½ + ¼ + 2/5

Convert 1½ to an improper fraction:


1½ = (1 × 2 + 1)/2 = 3/2

Now the problem is:


3/2 + 1/4 + 2/5

Step 2: Find a Common Denominator

The denominators are 2, 4, and 5.


The least common denominator (LCD) of 2, 4, and 5 is 20.

Step 3: Convert All Fractions to Have the Same Denominator

3/2 = (3 × 10)/(2 × 10) = 30/20

1/4 = (1 × 5)/(4 × 5) = 5/20

2/5 = (2 × 4)/(5 × 4) = 8/20

Now you have:


30/20 + 5/20 + 8/20

Step 4: Add the Fractions

30/20 + 5/20 + 8/20 = 43/20

Step 5: Convert to a Mixed Number

43/20 = 2 remainder 3 = 2 3/20

Final Answer:

2 3/20

Summary:

Convert mixed numbers to improper fractions.

Find the least common denominator.

Convert all fractions to have that denominator.

Add the numerators.


Simplify the result.

This method works for any fractions!

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